Let f(x) = 2x³ – 1822 – 240x. Complete this problem without a graphing calculator. (a) The derivative of f(x) is f'(x) = (b) As a comma-separated list, the critical points of ƒ are x = Since f is continuous on the closed interval [-5, 18], f has both an absolute maximum and an absolute minimum on the interval [-5, 18] according to the Extreme Value Theorem. To find the extreme values, we evaluate f at the endpoints and at the critical points. (c) As a comma-separated list, the y-values corresponding to the critical points and endpoints are y =
Let f(x) = 2x³ – 1822 – 240x. Complete this problem without a graphing calculator. (a) The derivative of f(x) is f'(x) = (b) As a comma-separated list, the critical points of ƒ are x = Since f is continuous on the closed interval [-5, 18], f has both an absolute maximum and an absolute minimum on the interval [-5, 18] according to the Extreme Value Theorem. To find the extreme values, we evaluate f at the endpoints and at the critical points. (c) As a comma-separated list, the y-values corresponding to the critical points and endpoints are y =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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![Let f(x) = 2³ – 18x2 – 240x. Complete this problem without a graphing
calculator.
(a) The derivative of f(x) is f'(x) =
(b) As a comma-separated list, the critical points of f are x =
Since f is continuous on the closed interval [-5, 18], f has both an absolute
maximum and an absolute minimum on the interval [-5, 18] according to the Extreme
Value Theorem. To find the extreme values, we evaluate f at the endpoints and at the
critical points.
(c) As a comma-separated list, the y-values corresponding to the critical points and
endpoints are y =
(d) The minimum value of f on [-5, 18] is y =
the minimum value occurs at x =
and this x is a(n) ?
(e) The maximum value of f on [-5, 18] is y =
the maximum value occurs at =
and this x is a(n) ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d15e77-8c44-4e48-af9a-bae33a9e346c%2Fda5d3bd2-18d1-4f14-9a49-efa0e3212931%2Fx45zh7_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = 2³ – 18x2 – 240x. Complete this problem without a graphing
calculator.
(a) The derivative of f(x) is f'(x) =
(b) As a comma-separated list, the critical points of f are x =
Since f is continuous on the closed interval [-5, 18], f has both an absolute
maximum and an absolute minimum on the interval [-5, 18] according to the Extreme
Value Theorem. To find the extreme values, we evaluate f at the endpoints and at the
critical points.
(c) As a comma-separated list, the y-values corresponding to the critical points and
endpoints are y =
(d) The minimum value of f on [-5, 18] is y =
the minimum value occurs at x =
and this x is a(n) ?
(e) The maximum value of f on [-5, 18] is y =
the maximum value occurs at =
and this x is a(n) ?
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